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2 marksDeriving Inverse Functions

CSEC Mathematics · May/June 2011 · Paper 2 · Question 6(a)(iii)

Functions f and g are defined by f(x) = 6x + 8 and g(x) = (x-2)/3.

Find the inverse function f⁻¹(x).

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Other parts of this question

  1. 6(a)(i)Calculate the value of g(1/2).[2 marks]
  2. 6(a)(ii)Write an expression for gf(x) in its simplest form.[2 marks]
  3. 6(b)(i)Determine the coordinates of A and B.[2 marks]
  4. 6(b)(ii)Determine the gradient of the line segment AB.[2 marks]
  5. 6(b)(iii)Determine the equation of the line which passes through A and B.[2 marks]

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